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Finding the Third Proportional to 159,424 and 223,424

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Solution

The third proportional to 159,424 and 223,424 is: 313,116.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,424 : 223,424 = 223,424 : x
  2. Step 2: Convert to fraction form
    159,424/223,424 = 223,424/x
  3. Step 3: Cross multiply
    159,424x = 223,424 × 223,424
  4. Step 4: Simplify right side
    159,424x = 49,918,283,776
  5. Step 5: Solve for x
    x = 49,918,283,776/159,424
  6. Step 6: Final answer
    x = 313,116.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.